752.4 is what percent of 6270 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 6270 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 6270, so we can write it down as 100%=6270.
4. We know, that x% equals 752.4 of the output value, so we can write it down as x%=752.4.
5. Now we have two simple equations:
1) 100%=6270
2) x%=752.4
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=6270/752.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 752.4 is what percent of 6270

100%/x%=6270/752.4
(100/x)*x=(6270/752.4)*x       - we multiply both sides of the equation by x
100=8.3333333333333*x       - we divide both sides of the equation by (8.3333333333333) to get x
100/8.3333333333333=x
12=x
x=12

now we have:
752.4 is 12% of 6270